45240520 has 96 divisors (see below), whose sum is σ = 116174520. Its totient is φ = 15759360.

The previous prime is 45240511. The next prime is 45240523. The reversal of 45240520 is 2504254.

It can be written as a sum of positive squares in 4 ways, for example, as 33802596 + 11437924 = 5814^2 + 3382^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45240491 and 45240500.

It is not an unprimeable number, because it can be changed into a prime (45240523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187600 + ... + 187840.

Almost surely, 2^45240520 is an apocalyptic number.

45240520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45240520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58087260).

45240520 is an abundant number, since it is smaller than the sum of its proper divisors (70934000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45240520 is a wasteful number, since it uses less digits than its factorization.

45240520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 45240520 is about 6726.1073437762. The cubic root of 45240520 is about 356.3219114092.

Adding to 45240520 its reverse (2504254), we get a palindrome (47744774).

The spelling of 45240520 in words is "forty-five million, two hundred forty thousand, five hundred twenty".